1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alekssandra [29.7K]
3 years ago
6

What is the common difference for this arithmetic sequence? 54, 50, 46, 42, 38, ...

Mathematics
1 answer:
Setler79 [48]3 years ago
3 0

Answer:

B. 4

Step-by-step explanation:

54 - 4 = 50

50 - 4 = 46

46 - 4 = 42

42 - 4 = 38

You might be interested in
Given: BCDF is a parallelogram; AB = BF<br> Prove: angleA=angleE
Katen [24]

Answer:

Step-by-step explanation:

ABCD is a parallelogram.  AB is produced to P, such that AB = BP and PQ is drawn parallel to BC to meet AC produced at Q. Given AB = 8 cm, AD = 5 cm, AC = 10 cm.

→ BC ║ QP →→Given

In Δ ABC and ΔAPQ

∠ABC=∠APQ→→[BC ║ QP , BP is a transversal, so corresponding angles are equal]

∠BAC=∠PAQ→→Reflex angle

Δ ABC ~ ΔAPQ→→(AA similarity criterion]

When triangles are similar, their corresponding angles are equal.

AC=CQ=10 cm, shows that point C is mid point of AQ.

<u>help me by marking as brainliest....</u>

7 0
3 years ago
A 154-lb person burns 420 calories per hour riding an exercise bicycle at a rate of 15 mi/hr. Write a function rule to represent
nika2105 [10]
<span>C = total calories burned
r = rate of burning calories = 420 calories burned/hour
t = time in hours
C = 420 * t
</span>
4 0
3 years ago
A baseball player has a batting average of 0.25. What is the probability that he has exactly 2 hits in his next 7 at bats
marissa [1.9K]

Answer:

The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.

Step-by-step explanation:

We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.

Let X = <u><em>Number of hits made by a baseball player</em></u>

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,......

where, n = number of trials (samples) taken = 7 at-bats

            r = number of success = exactly 2 hits

            p = probability of success which in our question is batting average

                   of a baseball player, i.e; p = 0.25

SO, X ~ Binom(n = 7, p = 0.25)

Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)

          P(X = 2) =  \binom{7}{2}\times 0.25^{2} \times (1-0.25)^{7-2}

                        =  21 \times 0.25^{2} \times 0.75^{5}

                        =  <u>0.3115</u>

5 0
4 years ago
Decrypt the word DKA if it was encrypted using an alphabetic Caesar shift cipher that starts with shift 5 (mapping A to F), and
pochemuha

Answer:

YET

Step-by-step explanation:

TO DECRYPT DKA USING THE CAESAR SHIFT CIPHER STARTING WITH 5 SHIFTS.

TO DO THIS DECRYPTION, WE'RE GOING TO LOOP THE ALPHABETS.

D = LOOPING THIS LETTER 5 TIMES, WE HAVE C - B - A - Z - Y.

SO, D IS DECRYPTED AS Y

GOING FURTHER, THE ENCRYPTION SHIFTS BY AN ADDITIONAL SPACE. THIS MEANS, IF THE FIRST "Y" WAS ENCRYPTED IN 5 SPACES TO GET D, AND AN ADDITIONAL SPACE WAS ADDED TO THE NEXT ALPHABET, IT BECOMES 6.

K IS THEN DECRYPTED AS

K = J - I - H - G - F - E

K IS DECRPYTED AS E

GOING FURTHER, THE NEXT WAS ENCRYPTED WITH AN ADDITIONAL SPACE EVEN MORE, SO, A IS DECRPYTED AS

A = Z - Y - X - W - V - U - T.

THUS, DKA IS DECRYPTED AS YET

5 0
3 years ago
A rectangular prism has a volume of 97.5 cubic inches. The length is 5 inches and the height is 3 inches. What is the width of t
const2013 [10]

Answer:

6.5

Step-by-step explanation:

3X5=15

97.5/ 15 = 6.5

3 0
3 years ago
Other questions:
  • Hello HELP THIS IS DUE VERY SOON
    7·1 answer
  • Find the distance CD rounded to the nearest tenth C = (8,-3)
    6·1 answer
  • A recipe for 6 dozen cookies calls for 3/4 cup of sugar. How much sugar is needed to make 4 dozen cookies? pls show all work and
    15·1 answer
  • What steps would you take to compare 2 kilograms and 3,200 grams m
    13·2 answers
  • Easy Buy Company gave out 7 DVD's to each of their employees as gifts. There were
    6·2 answers
  • When a family with two adults and three children bough the tickets for an amusement park, the young paid a total of $56.50. the
    9·1 answer
  • Deleted question.....
    10·1 answer
  • 9. Find the perimeter of this figure.​
    6·1 answer
  • I NEED HELP ASAP PLZ!!!!
    11·1 answer
  • I need help. I have this question and it says express your answer as a simplified mixed number 8 4/7 - 3 2/7 =​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!